Okay, I have an equation for a sphere as follows:
r_s(t) = (x - x_s(t)^2 + y^2 + z^2)^1/2
This sphere has a radius of R. The center of the sphere is (x_s(t),0,0)
and r_s(t) is supposed to give the distance between some points (x,y,z)
and the center. But r_s is part of a function, as follows:
f(r_s) = tanh(S(r_s + R) - tanh(S(r_s - R) / 2 tanh (SR)
The S, R, and r_S can be arbitrary values that I calculate out. I think
the "tanh's" mean that I end up with a hyperbola. What I want to know
is, given this information, does anyone know how I can plot out a
hyperbola on Mathematica. For simplicity sake, say S = 8, R = 1000, r_s
= 20. Is there even enough information there to do it? This is for a
physics class, in case anyone was wondering.